Poincaré’s fertile error reintroduced the oldest open question in dynamical systems: the problem of stability of orbits in the n-body problem. After Poincaré the problem was studied by Birkhoff, Kolmogorov, Arnold and Moser. Laskar, using the secular system introduced by Lagrange, showed that the orbits of the planets in a realistic model of the solar system are chaotic with a Lyapounov exponent of 1/(5 Myrs).

The solar system between order and chaos

MARMI, Stefano
2013

Abstract

Poincaré’s fertile error reintroduced the oldest open question in dynamical systems: the problem of stability of orbits in the n-body problem. After Poincaré the problem was studied by Birkhoff, Kolmogorov, Arnold and Moser. Laskar, using the secular system introduced by Lagrange, showed that the orbits of the planets in a realistic model of the solar system are chaotic with a Lyapounov exponent of 1/(5 Myrs).
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/37429
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